18. Slalom times 2014 The Men's Giant Slalom skiing event con- sists of two runs whose times are added together for a final score. Two displays of the giant slalom times in the 2014 Winter Olympics at Sochi are shown below. 30 220 25 210 20 200 # Of Skiers 15 Seconds 190 10 180 5 170 160 160 170 180 190 200 210 220 Slalom Times (sec) Slalom Times a) What features of the distribution can you see in both the his- togram and the boxplot? b) What summary statistic would you choose to summarize the center of this distribution? Why? c) What summary statistic would you choose to summarize the spread of this distribution? Why?22. Camp sites Shown below are the histogram and summary statistics for the number of camp sites at public parks in Vermont: # of Parks 0 50 100 150 200 250 300 # of Sites/Park Count 46 Mean 62.8 sites Median 43.5 StdDev 56.2 Min 0 Max 275 Q1 28 03 78 a) Which statistics would you use to identify the center and spread of this distribution? Why? b) How many parks would you classify as outliers? Explain. c) Create a boxplot for these data. d) Write a few sentences describing the distribution.34. Vineyards Here are summary statistics for the sizes (in acres) of a collection of vineyards in the Finger Lakes region of New York State: Count 36 Mean 46.50 acres StdDev 47.76 Median 33.50 IOR 36.50 Min 6 01 18.50 03 55 Max 250 Suppose you didn't have access to the data. Answer the follow- ing questions from the summary statistics alone: a) Would you describe this distribution as symmetric or skewed? Explain. b) Are there any outliers? Explain. c) Create a boxplot of these data. d) Write a few sentences about the sizes of the vineyards.4. Prisons 2014 In a way, boxplots are the opposite of histograms. A histogram divides the number line into equal intervals and displays the number of data values in each interval. A boxplot divides the data into equal parts and displays the portion of the number line each part covers. These two plots display the num- ber of incarcerated prisoners in each state at the end of 2014: 20 15 # of States 10 5 - 0 50000 100000 150000 Number of Prisonersa) Explain how you could tell, by looking at a boxplot, where the tallest bars on the histogram would be located. b) Explain how both the boxplot and the histogram can indicate a skewed distribution. c) Identify one feature of the distribution that the histogram shows but the boxplot does not. d) Identify one feature of the distribution that the boxplot shows but the histogram does not